464622226464 has 384 divisors, whose sum is σ = 1440279429120. Its totient is φ = 129710592000.

The previous prime is 464622226433. The next prime is 464622226483.

464622226464 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90761697 + ... + 90766815.

It is an arithmetic number, because the mean of its divisors is an integer number (3750727680).

Almost surely, 2^464622226464 is an apocalyptic number.

464622226464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464622226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720139714560).

464622226464 is an abundant number, since it is smaller than the sum of its proper divisors (975657202656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464622226464 is a wasteful number, since it uses less digits than its factorization.

464622226464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5296 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 464622226464 in words is "four hundred sixty-four billion, six hundred twenty-two million, two hundred twenty-six thousand, four hundred sixty-four".